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3 papers
Quantum lattice Boltzmann study of random-mass Dirac fermions in one dimension
Christian B. Mendl, Silvia Palpacelli, Alex Kamenev +1
We study the time evolution of quenched random-mass Dirac fermions in one dimension by quantum lattice Boltzmann simulations. For nonzero noise strength, the diffusion of an initia…
Numerical evidence of Sinai diffusion of random-mass Dirac particles
Silvia Palpacelli, Sauro Succi
We present quantum Lattice Boltzmann simulations of the Dirac equation for quantum-relativistic particles with random mass. By choosing zero-average random mass fluctuation, the si…
Quantum Lattice Boltzmann is a quantum walk
Sauro Succi, Francois Fillion-Gourdeau, Silvia Palpacelli
Numerical methods for the 1-D Dirac equation based on operator splitting and on the quantum lattice Boltzmann (QLB) schemes are reviewed. It is shown that these discretizations fal…